Joint IAS/PU Groups and Dynamics Seminar
Regularity of Measures Generated by Random Dynamics and Applications
A stationary measure in random dynamics is an analog of an invariant measure for a classical dynamical system. While there is no reason, in general, for an invariant measure of a diffeomorphism to have any regularity, it turns out that, under mild nondegeneracy assumptions, every stationary measure of a smooth random dynamical system must be Holder continuous. I will describe the main idea behind the proof of this result, as well as some of its applications.
Date & Time
October 06, 2026 | 4:00pm – 5:00pm
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10/06/2026 16:00
10/06/2026 17:00
Joint IAS/PU Groups and Dynamics Seminar
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Topic: Regularity of Measures Generated by Random Dynamics and Applications
Speakers: Grigorii Monakov, Institute for Advanced Study
More: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar-58
A stationary measure in random dynamics is an analog of an invariant
measure for a classical dynamical system. While there is no reason, in
general, for an invariant measure of a diffeomorphism to have any
regularity, it turns out that, under mild nondegeneracy assumptions,
every stationary measure of a smooth random dynamical system must be
Holder continuous. I will describe the main idea behind the proof of
this result, as well as some of its applications.
Simonyi 101
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Location
Simonyi 101Speakers
Grigorii Monakov, Institute for Advanced Study